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-Dominant- [34]
1 year ago
14

Write an equation for the line in point-slope and slope-intercept forms.

Mathematics
2 answers:
nikdorinn [45]1 year ago
4 0

Answer: It should be -(x - 2)

Step-by-step explanation:

the reason is this right here

y - y1 = m(x - x1)

y1 = 4

x1 = 2

m = -1

y - 4 = -(x - 2)

Dominik [7]1 year ago
3 0

point-slope form: y-y₁ = m (x-x₁)

=============

  • y -(-4) = -1(x-2)
  • y + 4 = -1(x-2)

slope-intercept form: y = mx + b

============

  • y + 4 = -1(x-2)
  • y + 4 = -x + 2
  • y = -x + 2-4
  • y = -x -2
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We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

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In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
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In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

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h = 9.2 cm

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